Highest Common Factor of 8796, 3954 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8796, 3954 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 8796, 3954 is 6 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8796, 3954 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8796, 3954 is 6.
HCF(8796, 3954) = 6
HCF of 8796, 3954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8796, 3954 is 6.
Highest Common Factor of 8796,3954 is 6
Step 1: Since 8796 > 3954, we apply the division lemma to 8796 and 3954, to get
8796 = 3954 x 2 + 888
Step 2: Since the reminder 3954 ≠ 0, we apply division lemma to 888 and 3954, to get
3954 = 888 x 4 + 402
Step 3: We consider the new divisor 888 and the new remainder 402, and apply the division lemma to get
888 = 402 x 2 + 84
We consider the new divisor 402 and the new remainder 84,and apply the division lemma to get
402 = 84 x 4 + 66
We consider the new divisor 84 and the new remainder 66,and apply the division lemma to get
84 = 66 x 1 + 18
We consider the new divisor 66 and the new remainder 18,and apply the division lemma to get
66 = 18 x 3 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 8796 and 3954 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(66,18) = HCF(84,66) = HCF(402,84) = HCF(888,402) = HCF(3954,888) = HCF(8796,3954) .
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Frequently Asked Questions on HCF of 8796, 3954 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8796, 3954?
Answer: HCF of 8796, 3954 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8796, 3954 using Euclid's Algorithm?
Answer: For arbitrary numbers 8796, 3954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.